GUP parameter from Maximal Acceleration

Giuseppe Gaetano Luciano; Luciano Petruzziello

GUP parameter from Maximal Acceleration

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arxiv 1902.07059 v1 pith:ER6AJ2MZ submitted 2019-02-19 hep-th

Giuseppe Gaetano Luciano , Luciano Petruzziello This is my paper · ORCID

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keywords accelerationbetamaximalparametertheoreticalappearingapproachescaianiello

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We exhibit a theoretical calculation of the parameter \beta appearing in the generalized uncertainty principle (GUP) with only a quadratic term in the momentum. A specific numerical value is obtained by comparing the GUP-deformed Unruh temperature with the one predicted within the framework of Caianiello's theory of maximal acceleration. The physical meaning of this result is discussed in connection with constraints on \beta previously fixed via both theoretical and experimental approaches.

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Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
gr-qc 2025-02 reject novelty 5.0 of 10

In a GUP-modified cosmology, matter fluctuations grow more slowly and the primordial gravitational wave spectrum is enhanced at high frequencies, leading to a claimed bound β ≲ 10^39.

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